Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach Spaces

This paper is concerned with the study of a class of variational inequalities with multivalued -pseudomonotone mappings in reflexive Banach spaces by using the -antiresolvent technique. An application to the multivalued nonlinear -complementarity problem is also presented. The results coincide with...

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Main Authors:	A. M. Saddeek, S. A. Ahmed
Format:	Article
Language:	English
Published:	Hindawi Limited 2013-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2013/487545

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spelling	doaj-594910a8ef6247639b07a34cbc6eaa5c2020-11-24T23:07:18ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/487545487545Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach SpacesA. M. Saddeek0S. A. Ahmed1Department of Mathematics, Faculty of Science, Assiut University, Assiut, EgyptDepartment of Mathematics, Faculty of Science, Assiut University, Assiut, EgyptThis paper is concerned with the study of a class of variational inequalities with multivalued -pseudomonotone mappings in reflexive Banach spaces by using the -antiresolvent technique. An application to the multivalued nonlinear -complementarity problem is also presented. The results coincide with the corresponding results announced by many others for the gradient state.http://dx.doi.org/10.1155/2013/487545
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	A. M. Saddeek S. A. Ahmed
spellingShingle	A. M. Saddeek S. A. Ahmed Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach Spaces Abstract and Applied Analysis
author_facet	A. M. Saddeek S. A. Ahmed
author_sort	A. M. Saddeek
title	Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach Spaces
title_short	Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach Spaces
title_full	Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach Spaces
title_fullStr	Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach Spaces
title_full_unstemmed	Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach Spaces
title_sort	multivalued variational inequalities with -pseudomonotone mappings in reflexive banach spaces
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2013-01-01
description	This paper is concerned with the study of a class of variational inequalities with multivalued -pseudomonotone mappings in reflexive Banach spaces by using the -antiresolvent technique. An application to the multivalued nonlinear -complementarity problem is also presented. The results coincide with the corresponding results announced by many others for the gradient state.
url	http://dx.doi.org/10.1155/2013/487545
work_keys_str_mv	AT amsaddeek multivaluedvariationalinequalitieswithpseudomonotonemappingsinreflexivebanachspaces AT saahmed multivaluedvariationalinequalitieswithpseudomonotonemappingsinreflexivebanachspaces
_version_	1725618949112987648

Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach Spaces

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